In a tempestuous ending to United's 2-2 draw at Chelsea on Saturday, Mourinho leapt up and attempted to confront Chelsea technical assistant Marco Ianni.
And he was showing great restraint, with Chelsea fans hounding him in the same way that had happened on his three previous visits back to his former club as the Manchester United manager, serenading him with chants of "F*** off Mourinho". What I did here today I will do in Madrid, in Milan, in Porto.
"No, I'm not annoyed with anything", he said.
Reflecting on his team's performance, Sarri added: "I am very happy for 60 minutes, because we played our football".
"I think I would always think where I am, which stadium I'm in and which public is in the stands".
Mourinho had only tasted defeat in west London with the Red Devils, and there was certainly the first sense of deja vu when Antonio Rudiger headed Chelsea into the lead after 20 minutes in a comfortable first half for the Blues.
Sarri also had praise for his counterpart Mourinho, who will make another return to the ground where he won three Premier League titles across two separate spells.
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Once it got back to 1-1, you saw them play with a new freedom and energy, no longer concerned by what was behind them, more intent on trying to win. If you say before the game that one point at Stamford Bridge is a good result, it is so hard to win here but after the game with the way the game was it is an bad result for us and a phenomenal result for them.
When asked if he rates Mourinho as a better coach than himself, Sarri told reporters: "Of course. It's completely different than Conte or Mourinho before", said the Belgian, who has eight goals already this season.
"I think he will be able to win also in the future".
The United manager's relationship with Chelsea supporters has strained since taking over at Old Trafford.
With his 149th league goal for City, Aguero passed Frank Lampard and Alan Shearer in the tally of most Premier League goals for a single club.
Chelsea fans could be heard chanting "F*ck off, Mourinho" when the match came to an end. We put lots of "feet" in the last third in the first half. "I have spoken with the member of my staff, and I again spoke with Mourinho to say sorry to him".
He said: "At this type of football, United is better than us".
"At the moment I think City is better like a team, but player by player they (United) are very, very strong".